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Finding the Fourth Proportional to 13,021.60, 17,970.92 and 7,357.39

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Solution

The fourth proportional to 13,021.60, 17,970.92 and 7,357.39 is: 10,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.60 : 17,970.92 = 7,357.39 : x
  2. Step 2: Convert to fraction form
    13,021.60/17,970.92 = 7,357.39/x
  3. Step 3: Cross multiply
    13,021.60x = 17,970.92 × 7,357.39
  4. Step 4: Simplify right side
    13,021.60x = 132,219,067.10
  5. Step 5: Solve for x
    x = 132,219,067.10/13,021.60
  6. Step 6: Final answer
    x = 10,153.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.